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In Mathematics / Middle School | 2014-08-12

What are three ratios equivalent to 18:4?

Asked by bridgetrmcduff

Answer (3)

36:8, 9:2, and 72: 16 would all be equivalent.
In order to find ratios that are equivalent to 18:4, you have to multiply both numbers by the same factor.
For instance, when we use a factor of two and multiply it by each term, we get 36:8 because 18 2=36 and 4 2 = 8.
The second and third options above are for when the numbers are multiplied by 1/2 and 4 respectively.

Answered by MrGumby | 2024-06-11

For this case we have the following ratio:
4 18 ​
What we must do is write three equivalent ratios.
For this, we must rewrite the fraction.
We have then:
** Way 1: **
Divide numerator and denominator between two:
2 4 ​ 2 18 ​ ​ = 2 9 ​
** Way 2: **
Multiply numerator and denominator by two:
4 18 ​ 2 2 ​ = 8 36 ​
** Way 3: **
Multiply numerator and denominator by four:
4 18 ​ 4 4 ​ = 16 72 ​

Answered by carlosego | 2024-06-11

Three ratios equivalent to 18:4 are 9:2, 36:8, and 72:16. These ratios are found by either simplifying or multiplying the original ratio. Understanding equivalent ratios helps in various mathematical contexts, such as proportions and scaling.
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Answered by carlosego | 2024-10-10